Details

sample103.0ms

Algorithm

intervals

Results

72.0ms

473×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4736
5	2602
4	911
3	255
2	86
1	33
0	18

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
0.1b	(* (fma b c a) c)
7.3b	(* i (* (fma b c a) c))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma t z (* y x))
13.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
6.0ms	(* (fma b c a) c)
15.0ms	(* i (* (fma b c a) c))

series965.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma t z (* y x))
795.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
47.0ms	(* (fma b c a) c)
77.0ms	(* i (* (fma b c a) c))

simplify1.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	828
1	256
0	120

prune628.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
0.6b	(* i (fma b c a))
3.8b	(* (* i (fma b c a)) c)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma t z (* y x))
5.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
11.0ms	(* i (fma b c a))
18.0ms	(* (* i (fma b c a)) c)

series979.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma t z (* y x))
768.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
77.0ms	(* i (fma b c a))
69.0ms	(* (* i (fma b c a)) c)

simplify1.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	950
1	279
0	126

prune705.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize61.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (fma b c a))
1.0b	(cbrt (fma b c a))
1.0b	(cbrt (fma b c a))
3.8b	(* (* (* i (* (cbrt (fma b c a)) (cbrt (fma b c a)))) (cbrt (fma b c a))) c)

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt (fma b c a))
1.0ms	(cbrt (fma b c a))
1.0ms	(cbrt (fma b c a))
276.0ms	(* (* (* i (* (cbrt (fma b c a)) (cbrt (fma b c a)))) (cbrt (fma b c a))) c)

series639.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (fma b c a))
194.0ms	(cbrt (fma b c a))
188.0ms	(cbrt (fma b c a))
107.0ms	(* (* (* i (* (cbrt (fma b c a)) (cbrt (fma b c a)))) (cbrt (fma b c a))) c)

simplify1.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	1032
1	277
0	109

prune715.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize45.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (pow (* (* c i) (fma b c a)) 1))
4.1b	(* (* c i) (fma b c a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `prod-diff`
13×	`add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`fma-udef` `sqr-pow`
3×	`expm1-log1p-u` `unpow-prod-down` `fma-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `associate-l` `associate--l+` `*-commutative` `flip--` `distribute-lft-out--`

Counts

3 → 71

Calls

3 calls:

0.0ms	(fma t z (* y x))
6.0ms	(- (fma t z (* y x)) (pow (* (* c i) (fma b c a)) 1))
16.0ms	(* (* c i) (fma b c a))

series1.0s

Counts

3 → 9

Calls

3 calls:

59.0ms	(fma t z (* y x))
871.0ms	(- (fma t z (* y x)) (pow (* (* c i) (fma b c a)) 1))
96.0ms	(* (* c i) (fma b c a))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1099
1	342
0	148

prune703.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.5b

regimes1.2s

Accuracy

0% (0.8b remaining)

Error of 1.7b against oracle of 0.9b and baseline of 1.7b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.0s

14930×

body

valid